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Finding the Third Proportional to 18,193.50 and 28,101

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Solution

The third proportional to 18,193.50 and 28,101 is: 43,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,193.50 : 28,101 = 28,101 : x
  2. Step 2: Convert to fraction form
    18,193.50/28,101 = 28,101/x
  3. Step 3: Cross multiply
    18,193.50x = 28,101 × 28,101
  4. Step 4: Simplify right side
    18,193.50x = 789,666,201
  5. Step 5: Solve for x
    x = 789,666,201/18,193.50
  6. Step 6: Final answer
    x = 43,403.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.